Development control of a multicommodity economy based on the dynamical input-output model

In this paper the regular method for constructing the modified dynamic input-output model is proposed. The main characteristic of the approach is the inclusion of gross domestic product in the state vector. This allows to simulate the dynamics of the production sphere and the sphere of consumption. Some versions of the model that take into account various control possibilities of production and consumption processes are constructed. It is shown that the implementation of the investment programs is modeled by a linear control system of differential equations. Accounting of the effects of other macroeconomic indicators (taxes, wage rates, etc.) leads to a nonlinear control system. On the basis of the modified input-output model the scenario approach for development of investment plans and their correction is proposed. The connection of these problems with problems of construction of programmed controls and stabilization of programmed motions of dynamical systems is shown. Bibliogr. 28. Table 1.